Pith Number

pith:SDXXI42L

pith:2008:SDXXI42LC4C2MRPIC3ASEPIBSE

not attested not anchored not stored refs pending

Hyperoctahedral Chen calculus for effective Hamiltonians

Christian Brouder (IMPMC), Fr\'ed\'eric Patras (JAD)

arxiv:0812.0061 v3 · 2008-11-29 · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SDXXI42LC4C2MRPIC3ASEPIBSE}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T04:40:54.771236Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

90ef74734b1705a645e816c1223d019108e78821747a305edefe60328c2f9dac

Aliases

arxiv: 0812.0061 · arxiv_version: 0812.0061v3 · doi: 10.48550/arxiv.0812.0061 · pith_short_12: SDXXI42LC4C2 · pith_short_16: SDXXI42LC4C2MRPI · pith_short_8: SDXXI42L

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/SDXXI42LC4C2MRPIC3ASEPIBSE \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 90ef74734b1705a645e816c1223d019108e78821747a305edefe60328c2f9dac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9bb811645b4ce07145957867baca6140c76bb3c22392587717d562c22d3a9656",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2008-11-29T08:57:27Z",
    "title_canon_sha256": "4836a022fa6b9a32b89f3bfb1e8b23fd93176e6bf4aaa04ea110890d60a29002"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0812.0061",
    "kind": "arxiv",
    "version": 3
  }
}